A course for high school students that covers functions, graphs of functions, descriptive statistics including mean, mode, median, standard deviation, and right triangle trigonometry.

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MTH1100Applications in Statistics

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A special course for high school students providing an introduction to statistics along with applications. Through a combination of lectures and problem solving sessions, the student will be exposed to the topics of central measures - mode, mean, and standard deviation - as well as with topics in confidence levels.

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MTH1110Mathematical Analysis I

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Equations and inequalities; graphs and functions; polynomials and rational functions; exponential and logarithmic; systems of equations and inequalities; matrices and determinants; conic sections.

Students will learn how to form plausible conjectures. Students will be introduced to various techniques of proofs such as direct proof, proof by contrapositive, proof by induction, etc. Applications of these techniques on set theory, analysis, conmbinatories group theory, and functions and relations will be discussed.

A study of mathematical modeling concepts utilizing qualitative and quantitative variables and applied regression analysis. The practical interaction of mathematics, basic statistics, and regression analysis is developed and applied to a real world setting.

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MTH4580Applied Analysis

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Optimization concepts, maxima and minima for functions of one and several variables, calculus of variations using direct and indirect methods.

(Credit applies only in undergraduate or graduate programs in mathematics education.) Foundations of algebra, metric and nonmetric geometry, probability and statistics.

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MTH4800Analy For Teachers

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(Credit applies only in undergraduate or graduate programs in mathematics education.) Topics chosen from algebra and trigonometry, including roots of polynomial equations, root approximation techniques, the factor theorem, the remainder theorem, Descartes' rule of signs, trigonometric functions, law of sines, law of cosines, complex numbers.

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MTH4810Modern Algebra for Teachers

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Credit only applies in mathematics education. Structure of a mathematical system, groups, fields, ordered fields including important models (namely the real number system).

Credit only applies in mathematics education. A historical development of mathematics from primitive origins to the Twentieth Century concentrating on numeration systems, arithmetic methods. Euclidean and non-Euclidean geometries, number theory, theory of equations, and the origins of Calculus.

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MTH4850Prob & Statistics for Teachers

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Credit only applies in mathematics education. Organization and presentation of data, frequency distributions, measures of centrality and dispersion, percentiles and standard scores, sampling theory and distributions, tests of hypotheses and confidence intervals, correlation.

Farey fractions, distribution of primes, quadratic forms, representation of integers as sums of k-th powers, quadratic fields, introduction to algebraic number theory and foundations of analytic number theory.

Testing of hypotheses in one-parameter cases, power of a test, most powerful critical regions, asymptotically best tests, estimation of a single parameter, some properties of efficient statistics, the multi parameter theory.

Students undertake a significant mathematical project in area of interest to them, prepare a scholarly paper, and make an oral presentation in class. This should ordinarily be taken in the last semester of graduate studies.